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**Solved: Real Analysis, differentiation**

## Homework Statement

If g is differentiable and g(x+y)=g(x)(g(y) find g(0) and show g'(x)=g'(0)g(x)

## The Attempt at a Solution

I solved g(0)=1

and

I got as far as

[tex]

g'(x)=\lim_{\substack{x\rightarrow 0}}g(x) \frac{g(h)-1}{h}

[/tex]

but now I am stuck.

Thank you in advance

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